A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.1 years, and standard deviation of 3.2 years. If you randomly purchase 12 items, what is the probability...

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.1 years, and standard deviation of 3.2 years.


If you randomly purchase 12 items, what is the probability that their mean life will be longer than 14 years?


Round to 4 decimal places